SOLUTION: If 2^n + 2^n + 2^n + 2^n = 2^10 then what is the value of n? Please help.

Algebra ->  Average -> SOLUTION: If 2^n + 2^n + 2^n + 2^n = 2^10 then what is the value of n? Please help.      Log On


   

Question 1095206: If 2^n + 2^n + 2^n + 2^n = 2^10 then what is the value of n?
Please help.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your left side is  4%2A2%5En = 2%5E2%2A2%5En = 2%5E%28n%2B2%29.


Therefore, your equation is  2%5E%28n%2B2%29 = 2%5E10.


It implies that  n+2 = 10.


Can you complete the solution from this point ?


It would be good if after completing the solution you check it . . .